MATHEMATICS COLLEGE

A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?A. 152,000 Joules
B. 175,000 Joules
C. 303,000 Joules
D. 350,000 Joules
A boat is being towed such that the tow line - 1

Answers

Answer 1
Answer:

Answer:

C. 303,000 Joules

Step-by-step explanation:

1. use abcos(theta)

a=50

b=7000

theta=30 degrees

2. (50)(7000)cos(30)=303,000
Answer 2
Answer:

Answer:

C: 303,000 Joules

Step-by-step explanation:

Edge 2020

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An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of this evidence depends on the chance of a false positive positive that is the probability that the bureau finds a match given that the lead at the crime scene and the lead in the possession of the suspect are actually from two differant melts or sources. To estimate the false positive rate the bureau collected 1851 bullets that the agency was confident all came from differant melts. The using its established ctireria the bureau examined every possible pair of bullets and found 658 matches. Use this info to to compute the chance of a false positive.

Answers

Answer:

Step-by-step explanation:

Given that, we have 1851 bullets that we KNOW are NOT MATCHES of one another. One by one they examine two bullets at a time.

So, there are 1851 bullets but each time we choose 2.

We have, N choose K = N! / K! (N-k)!

Here, N = 1851 and K = 2

Therefore, 1851 choose 2 = 1851! / 2! (1851-2)!

                                         = 1851! / 2! * 1849!

                                         = 1712175 Possible Combinations

Out of these 653 are false positive.

The chance of getting false positive is = 658 / 1712175

                                                            = 0.000384

                                                           = 0.0384 %

Therefore, The correct option is

The chance of false positive is 0.0384% Because this probability is sufficiently small (< or = 1%) There is high confidence in the agency's forensic evidence.

What is the answer to a10/a3 ?

Answers

Answer:

a^7

Step-by-step explanation:

(a^(10))/(a^3)\n\n\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)\n(a^(10))/(a^3)=a^(10-3)\n\n=a^7

Miguel made a histogram to show the ages of all participants involved in a fundraiser which of the histogram did Miguel forget to create

Answers

Answer: Miguel forgot to create the title.

Step-by-step explanation:

Miguel made the histogram originally histogram to show the ages of all the participants that took part in a fundraiser.

The intervals of histogram are present on the given histogram. 1-10, 11-20, 21-30, 31-40, 41-50.

Same as the frequency for each interval. One notable omission from the histogram which is missing is the title, this implies that Miguel forgot to create the title.

Answer:

C: Miguel forgot to create the title.

Step-by-step explanation:

edg2020

(there is also no title in the picture:))

I need help please help me

Answers

Answer:

h(x) = 1/4 x - 2

Step-by-step explanation:

f(x) = 4x + 8

y = 4x + 8

x = 4y + 8

4y = x - 8

y = 1/4 x - 2

h(x) = 1/4 x - 2

Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily.Assuming no deposits or withdrawals are made, how much money, to the nearest
hundred dollars, would be in the account after 12 years?

Answers

Answer:

A ≈ $500

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate: A = P(1 + r/n)ⁿˣ

  • A is final amount
  • P is initial (principle) amount
  • r is rate
  • n is number of compounds
  • x is number of years

Step-by-step explanation:

Step 1: Define

P = 230

r = 0.063

n = 365

x = 12

Step 2: Solve for A

  1. Substitute:                    A = 230(1 + 0.063/365)³⁶⁵⁽¹²⁾
  2. Divide:                          A = 230(1 + 0.000173)³⁶⁵⁽¹²⁾
  3. Multiply:                        A = 230(1 + 0.000173)⁴³⁸⁰
  4. Add:                              A = 230(1.00017)⁴³⁸⁰
  5. Exponents:                   A = 230(2.1296)
  6. Multiply:                        A = 489.808

Vincent wrote an example of a proportion on the board.Evaluate Vincent’s proportion to determine if it is correct. Explain your reasoning.

Answers

Answer:

Vincent’s proportion is incorrect. His corresponding parts are not in the same position. The heights and bases are in different positions.

Step-by-step explanation:

I got it right on my assignment

Answer:    Vincent’s proportion is incorrect. His corresponding parts are not in the same position. The heights and bases are in different positions.

Step-by-step explanation: i got it right on my assignment

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